Boundedness of solutions to a degenerate diffusion equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00482847" target="_blank" >RIV/67985840:_____/17:00482847 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-319-64489-9_12" target="_blank" >http://dx.doi.org/10.1007/978-3-319-64489-9_12</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-64489-9_12" target="_blank" >10.1007/978-3-319-64489-9_12</a>

Result language
angličtina
Original language name
Boundedness of solutions to a degenerate diffusion equation
Original language description
The diffusion equation with a bounded saturation range under the time derivative and with Robin boundary conditions is shown to admit a regular bounded solution provided that the saturation function and the permeability coefficient have controlled decay at infinity. The result remains valid even if Preisach hysteresis is present in the pressure-saturation relation. The method of proof is based on a Moser-Alikakos iteration scheme which is compatible with a generalized Preisach energy dissipation mechanism.
Czech name
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Czech description
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Project
<a href="/en/project/GA15-12227S" target="_blank" >GA15-12227S: Analysis of mathematical models of multifunctional materials with hysteresis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs
ISBN
978-3-319-64488-2
ISSN
2281-518X
e-ISSN
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Number of pages
22
Pages from-to
305-326
Publisher name
Springer
Place of publication
Cham
Event location
Cortona
Event date
Jun 20, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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